To eliminate the fractions in the equation \( \frac{1}{3}x + \frac{1}{6}y = 4 \), you need to find a common denominator for the fractions.
The denominators in the equation are 3 and 6, and the least common multiple (LCM) of 3 and 6 is 6. Therefore, you can multiply the entire equation by 6 to clear the fractions.
Here’s how it works:
\[ 6 \left( \frac{1}{3}x \right) + 6 \left( \frac{1}{6}y \right) = 6 \cdot 4 \]
This gives:
\[ 2x + y = 24 \]
So, Rashonda should multiply the entire equation by 6 to eliminate the fractions.